(i) 98

Step I: Obtain the number and count the number of digits in it. Let there be n digits in the number to be squared.

Step II: Draw square and divide it into n² sub-squares of the same size by drawing (n - 1) horizontal and (n - 1) vertical lines.

Step III: Draw the diagonals of each sub-square.

Step IV: Write the digits of the number to be squared along left vertical side sand top horizontal side of the squares as shown below.

Step V: Multiply each digit on the left of the square with each digit on top of the column one-by-one. Write the units digit of the product below the diagonal and tens digit above the diagonal of the corresponding sub-square.

Step VI: Starting below the lowest diagonal sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal above.

Step VII: Obtain the required square by writing the digits from the left-most side.

(98)² = 9604

(ii) 273

Step I: Obtain the number and count the number of digits in it. Let there be n digits in the number to be squared.

Step II: Draw square and divide it into n² sub-squares of the same size by drawing (n - 1) horizontal and (n - 1) vertical lines.

Step III: Draw the diagonals of each sub-square.

Step IV: Write the digits of the number to be squared along left vertical side sand top horizontal side of the squares as shown below.

Step V: Multiply each digit on the left of the square with each digit on top of the column one-by-one. Write the units digit of the product below the diagonal and tens digit above the diagonal of the corresponding sub-square.

Step VI: Starting below the lowest diagonal sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal above.

Step VII: Obtain the required square by writing the digits from the left-most side.

(273)²= 74529

(iii)348

Step I: Obtain the number and count the number of digits in it. Let there be n digits in the number to be squared.

Step II: Draw square and divide it into n² sub-squares of the same size by drawing (n - 1) horizontal and (n - 1) vertical lines.

Step III: Draw the diagonals of each sub-square.

Step IV: Write the digits of the number to be squared along left vertical side sand top horizontal side of the squares as shown below.

Step V: Multiply each digit on the left of the square with each digit on top of the column one-by-one. Write the units digit of the product below the diagonal and tens digit above the diagonal of the corresponding sub-square.

Step VI: Starting below the lowest diagonal sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal above.

Step VII: Obtain the required square by writing the digits from the left-most side.

348² = 121104

(iv) 295

Step I: Obtain the number and count the number of digits in it. Let there be n digits in the number to be squared.

Step II: Draw square and divide it into n² sub-squares of the same size by drawing (n - 1) horizontal and (n - 1) vertical lines.

Step III: Draw the diagonals of each sub-square.

Step IV: Write the digits of the number to be squared along left vertical side sand top horizontal side of the squares as shown below.

Step V: Multiply each digit on the left of the square with each digit on top of the column one-by-one. Write the units digit of the product below the diagonal and tens digit above the diagonal of the corresponding sub-square.

Step VI: Starting below the lowest diagonal sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal above.

Step VII: Obtain the required square by writing the digits from the left-most side.

(295)² = 87025

(v) 171

Step I: Obtain the number and count the number of digits in it. Let there be n digits in the number to be squared.

Step II: Draw square and divide it into n² sub-squares of the same size by drawing (n - 1) horizontal and (n - 1) vertical lines.

Step III: Draw the diagonals of each sub-square.

Step IV: Write the digits of the number to be squared along left vertical side sand top horizontal side of the squares as shown below.

Step V: Multiply each digit on the left of the square with each digit on top of the column one-by-one. Write the units digit of the product below the diagonal and tens digit above the diagonal of the corresponding sub-square.

Step VI: Starting below the lowest diagonal sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal above.

Step VII: Obtain the required square by writing the digits from the left-most side.

(171)² = 29241